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Wave-induced oscillations in harbours of arbitrary geometry

Published online by Cambridge University Press:  29 March 2006

Jiin-Jen Lee
Jiin-Jen Lee
Affiliation:
W. M. Keck Laboratory of Hydraulics and Water Resources, California Institute of Technology
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Abstract

Wave-induced oscillations in harbours of constant depth but arbitrary shape in the horizontal plane connected to the open-sea are investigated both theoretically and experimentally. A theory termed the ‘arbitrary-shape harbour’ theory is developed. The solution of the Helmholtz equation is formulated as an integral equation which is then approximated by a matrix equation. The final solution is obtained by equating, at the harbour entrance, the wave amplitudes and their normal derivatives obtained from the solutions for the regions outside and inside the harbour. Special solutions using the method of separation of variables for the region inside circular and rectangular harbours are also obtained. Experiments were conducted to verify the theories. Four specific harbours were investigated: two circular harbours with 10° and 60° openings respectively, a rectangular harbour, and a model of the East and West Basins of Long Beach Harbour, California. In each case, the theoretical results agreed well with the experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 45 , Issue 2 , 30 January 1971 , pp. 375 - 394
Copyright
© 1971 Cambridge University Press

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References

Baker, B. B. & Copson, E. T. 1950 The Mathematical Theory of Huygen's Principle. Oxford University Press.
Banaugh, R. P. & Goldsmith, W. 1963 Diffraction of steady acoustic waves by surfaces of arbitrary shape J. Acoust. Soc. Am. 35, 1590–1601.Google Scholar
Hwang, L. S. & Tuck, E. O. 1970 On the oscillations of harbours of arbitrary shape J. Fluid Mech. 42, 447–464.Google Scholar
Ippen, A. T. & Goda, Y. 1963 Wave-induced oscillations in harbours: the solution for a rectangular harbour connected to the open-sea. Hydrodynamics Lab., M.I.T. T.R. no. 59.Google Scholar
Kravtchenko, J. & McNown, J. S. 1955 Seiche in rectangular ports Quart. Appl. Math. 13, 19–26.Google Scholar
Lee, J-J. 1969 Wave-induced oscillations in harbors of arbitrary shape, Ph.D. thesis, California Institute of Technology. (Also W. M. Keck Lab. of Hyd. and Water Resources, Cal. Inst. Tech. Rep. KH-R-20.)
Leendertse, J. J. 1967 Aspects of computational model for long-period water wave propagation. The Rand Corporation Memo. RM-5294-PR.
McNown, J. S 1952 Waves and seiche in idealized ports. Gravity Waves Symposium, National Bureau of Standards, Cir. 521, pp. 153–164.
Miles, J. & Munk, W. 1961 Harbour paradox Proc. Am. Soc. Civ. Engrs, J. Waterways Harbor Div. 87, 111–130.Google Scholar
Raichlen, F. 1965 Wave-induced oscillations of small moored vessels. W. M. Keck Lab. of Hyd. and Water Resources, Cal. Inst. Tech. Rep. KH-R-10.Google Scholar
Raichlen, F. & Ippen, A. T. 1965 Wave-induced oscillations in harbours Proc. Am. Soc. Civ. Engrs, J. Hydr. Div. 91, 1–26.Google Scholar
Wilson, B. W., Hendrickson, J. A. & Kilmer, R. C. 1965 Feasibility study for a surge motion model of Monterey Harbour. Science Engineering Associates, San Marino, California Rep. 2-136.Google Scholar